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Basic Hypothesis Testing Terminology Worksheet Choose the correct terminology for each of the below definitions from the following lists of terms: hypothesis, hypothesis testing, rare event rule for inferential statistics, null hypothesis, alternative hypothesis, test statistic, critical region, critical value, significance level, two‐tailed test, right‐tailed test, left‐tailed test, traditional method, type I error, and type II error. A procedure for testing a claim about a property of a population. Terminology: The critical region is in the two extreme regions (tails) under the curve. Terminology: The mistake of failing to reject the null hypothesis when it is actually false. Terminology: The critical region is in the extreme right region (tail) under the curve. Terminology: The mistake of rejecting the null hypothesis when it is actually true. Terminology: The critical region is in the extreme left region (tail) under the curve. Terminology: The set of all values of the test statistic that cause us to reject the null hypothesis. Terminology: A claim or statement about a property of a population. Terminology: A statement that the parameter has a value that differs somewhat from the null hypothesis. Terminology: A value used in making a decision about the null hypothesis. It is found by converting the sample statistic (such as proportion ̂ , the sample mean , or the sample standard deviations) to a score (such as z, t, or χ2) with the assumption that the null hypothesis is true. Terminology: The probability that the test statistic will fall in the critical region when the null hypothesis is actually true. If the test statistic falls in the critical region, we reject the null hypothesis, so α is the probability of making a mistake of rejecting the null hypothesis when it is true. Any value that separates the critical region (where we reject the null hypothesis) from the values of the test statistic that do not lead to rejection of the null hypothesis. The critical values depend on the nature of the null hypothesis, the sampling distribution that applies, and the significance level of α. Terminology: If the test statistic falls within the critical region, reject H0. If the test statistic does not fall within the critical region, fail to reject H0. A statement that the value of a population parameter (such as proportion, mean, or standard deviation) is equal to some claimed value. It is assumed to be true and a conclusion is reached to either reject or fail to reject it. Terminology: Terminology: Terminology: If, under a given assumption, the probability of a particular observed event is extremely small, we conclude that the assumption is probably not correct. Terminology: